1: How does the polynomial-time hierarchy affect computational problem classification?
2: What is the role of the class Σ2P in the polynomial-time hierarchy?
3: What is the significance of randomized reductions in complexity theory?
4: How do hardness and completeness interact in the polynomial-time hierarchy?
5: How do you determine if a problem belongs to a higher complexity class like ΣkP?
6: What is the impact of alternating quantifiers in computational complexity?
7: What is the significance of interactive proofs with bounded communication in TOC?
8: What is the class BPL (Bounded-error probabilistic log-space), and how does it relate to L?
9: How does the class NL-complete differ from NL-hard in complexity theory?
10: What is the relationship between randomized algorithms and approximation algorithms?
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